101303002233121 has 8 divisors (see below), whose sum is σ = 109096783666920. Its totient is φ = 93509398342272.

The previous prime is 101303002233089. The next prime is 101303002233157. The reversal of 101303002233121 is 121332200303101.

It can be written as a sum of positive squares in 4 ways, for example, as 84512885521 + 101218489347600 = 290711^2 + 10060740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101303002233121 - 2⁵ = 101303002233089 is a prime.

It is a super-2 number, since 2×101303002233121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101303002233092 and 101303002233101.

It is not an unprimeable number, because it can be changed into a prime (101303002233221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43199500 + ... + 45484093.

It is an arithmetic number, because the mean of its divisors is an integer number (13637097958365).

Almost surely, 2^{101303002233121} is an apocalyptic number.

It is an amenable number.

101303002233121 is a deficient number, since it is larger than the sum of its proper divisors (7793781433799).

101303002233121 is an equidigital number, since it uses as much as digits as its factorization.

101303002233121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88771475.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101303002233121 its reverse (121332200303101), we get a palindrome (222635202536222).

The spelling of 101303002233121 in words is "one hundred one trillion, three hundred three billion, two million, two hundred thirty-three thousand, one hundred twenty-one".